is 1375 a perfect cube find the smallest number by which 1372 should be divided to get a perfect - Maths - Cubes and Cube Roots

Question

is 1375 a perfect cube find the smallest number by which 1372
should be divided to get a perfect cube find the cube root of
perfect obtained

Varun.Rawat · Accepted Answer

I think both the given numbers are 1375
Here is the solution
The prime factorisation of 1375 is,1375 = 5 × 5 × 5
× 11Since the prime factor 11 does not occur in the group of
3, so the given number is not a perfect cube In order to make it a
perfect cube, it must be divided by 11 Now, 1375 ÷ 11 = 125
perfect cube numberNow,1253 = 5 × 5 × 53 = 5

is 1375 a perfect cube. find the smallest number by which 1372 should be divided to get a perfect cube .find the cube root of perfect obtained